Question

Suppose a bag contains the four letters of the word ROOM. If you take one letter out at a time and line the letters up from left to right as you take each one​ out, what is the probability that the letters will spell the word ROOM​?

Answer 1

The probability is 1/12

Explanation:

We want to spell the word ROOM

The probability of selecting the R would be 1/4

The probability of selecting the first O from left to right would be 2/3

The probability of selecting the second O from left to right would be 1/2

The probability of selecting the m would be 1/1 from left to right or simply just 1

The probability is thus the product of each letter probability and that is

1/4 * 2/3 * 1/2 * 1 = 1/12